PRESENTAZIONE

il corso verrà tenuto in lingua inglese.

OBIETTIVI E CONTENUTI

OBIETTIVI FORMATIVI

Solid state chemistry provides the most basic knowledge indispensable for the subjects about modern materials and their properties. The course will teach the students: (1) how to define the solid state and to connect its 3D structure with properties: elastic, electric, dielectric, magnetic; how to characterize solids, with the focus on X-rays and neutrons crystallography and inelastic scattering, with an overview of the emerging techniques; (2) how the knowledge about 3D structures in databases facilitates the understanding of structure-property relations; (3) how this knowledge is applied in the development of modern materials.

MODALITA' DIDATTICHE

Frontal lectures and laboratory demonstrations. The students will write reports on the experiments.

Exam: The students will be asked to expose a topic of their choice and will  be asked by the examining commision to expose a different topic of the course. 

PROGRAMMA/CONTENUTO

Review of wave phenomena, plane waves, normal modes, Fourier analysis, wavepackets, Maxwell equations, Schrodinger equation and atomic orbitals.

Introduction to the periodic structure of solids, direct lattice, translational and point symmetries, Bravais lattices, lattice with a basis, Wigner-Seitz cell, types of chemical bonds, structure of elements and simple compounds. Interference and diffraction of waves, Laue and Bragg condition, reciprocal lattice, Brillouin zones. Brief introduction on X-ray diffraction. Vibrational dynamics of solids, monoatomic and diatomic chains, acoustic and optical branches, quantization of vibrations and phonons, density of states, Einstein and Debye models, specific heat, brief analysis of anharmonicity to treat thermal expansion. Brief introduction on inelastic neutron scattering. Free electron models: classical Drude model, electrical conduction, Hall effect, thermal properties. Quantum statistics of identical particles, bosons and fermions, Sommerfeld model, Fermi sphere, Fermi energy and chemical potential, Sommerfeld expansion and correction to the Fermi energy. Failure of the classical description. Independent electron approximation in a periodic potential, Bloch theorem and band theory. Weak periodic potential and nearly free electron approximation, electronic structure and Fermi surface. Tight Binding approximation. Valence and conduction bands, electron velocity, electrical properties of full and partially filled bands, concept of holes. Metals, semiconductors, and insulators.

TESTI/BIBLIOGRAFIA

“Introduction to Solid State Physics”, Charles Kittel, 8th ed., John Wiley & Sons, 2005.

“Solid state physics”, N. W. Ashcroft, N. D. Mermin, Harcourt College Publishers, 1976.

DOCENTI E COMMISSIONI

Commissione d'esame

MARIO AGOSTINO ROCCA (Presidente)

GIANANGELO BRACCO

SILVANA TERRENI

LUCA VATTUONE

LEZIONI

Orari delle lezioni

L'orario di questo insegnamento è consultabile all'indirizzo: Portale EasyAcademy

ESAMI

MODALITA' D'ESAME

The students will be examined orally. They will have to expose one topic of their own choice and another proposed by the exam committee. In order to reach the sufficiency (18/30) the student will have to show to master the topics at the basic level and to be able to expose them appropriately.

MODALITA' DI ACCERTAMENTO

The student will have handed in reports on the laboratory experiments. He/she will be asked to expose orally at the blackboard a topic of his/her choice. The exposition of a second topic will be asked by the jury. For both topics the student must show to master the basic knowledge and to be able to expose them appropriately